36 results about "Lie derivative" patented technology

An affine transformation analysis system and method is provided for matching two images. The novel systolic array image affine transformation analysis system comprising a linear rf-processing means, an affine parameter incremental updating means, and a least square error fitting means is based on a Lie transformation group model of cortical visual motion and stereo processing. Image data is provided to a plurality of component linear rf-processing means each comprising a Gabor receptive field, a dynamical Gabor receptive field, and six Lie germs. The Gabor coefficients of images and affine Lie derivatives are extracted from responses of linear receptive fields, respectively. The differences and affine Lie-derivatives of these Gabor coefficients obtained from each parallel pipelined linear rf-processing components are then input to a least square error fitting means, a systolic array comprising a QR decomposition means and a backward substitution means. The output signal from the least square error fitting means then be used to updating of the affine parameters until the difference signals between the Gabor coefficients from the static and dynamical Gabor receptive fields are substantially reduced.

The invention relates to the technical field of electric power system transient stability analysis, and discloses a voltage online coordination control method based on energy margin constraint. The voltage online coordination control method based on energy margin constraint comprises the following steps that (2) a system potential energy function model Ep is built, and an energy margin Em is calculated on the basis of the lie derivative; (2) an approximate linear programming problem is formed by using the energy margin Em as an objective function and using the reactive margin and the voltage allowable change range as constraint conditions; (3) a coordination control strategy is obtained to accomplish coordination of various voltage control modes. According to the voltage online coordination control method based on energy margin constraint, various voltage control modes are brought into a uniform energy function frame, the lie derivative is introduced to calculate changes of the energy margin, the approximate linear programming problem is formed by using the situation that the energy margin is larger than or equal to zero as the objective function and using the reactive margin and the voltage change range as the constraint conditions, and the solution of the approximate linear programming problem serves as the coordination control strategy. According to the voltage online coordination control method based on energy margin constraint, the calculation speed can be increased, generation of the online coordination control strategy of various voltage control modes is facilitated, and the safe operation level of a power grid is improved.

The invention discloses an alternating-current-direct-current hybrid power grid robust optimal control method considering multi-state switching. The method comprises the steps of defining a state coordinate system of an alternating-current-direct-current multi-area parallel system; defining a virtual control law based on actual control input signals, and then obtaining an inertia center multi-state Markov state module of the whole alternating-current-direct-current system based on equivalent damping errors and outside interference coefficients, direct current system equivalent errors and outside interference coefficients, uncertain random jamming, and equivalent damping coefficients under inertia center coordinates; using a Lie derivative of a Lyapunov function of the inertia center multi-state Markov state module to replace uncertain random jamming to obtain an auxiliary module of the inertia center multi-state Markov state module; obtaining a target control law when the auxiliary module is asymptotically stable according to the probability, obtaining the actual control input signals according to the target control law, and using the actual control input signals to achieve alternating-current-direct-current hybrid power grid robust optimal running. According to the alternating-current-direct-current hybrid power grid robust optimal control method considering multi-state switching, the system robust stability is improved, and the system running performance is optimal.

The invention discloses a designing method for a recursion integration terminal sliding mode surface of a higher-order non-linear system. The method comprises steps of by use of the Lie derivative, arranging a general higher-order multi-input multi-output nonlinear system into a general high-relative degree non-linear system; designing a non-singular integration terminal sliding mode surface basedon a recursion method for the general high-relative degree non-linear system; and finally, based on the designed non-singular integration terminal sliding mode surface, giving out an exact time expression whose states are converged to the zero point. According to the invention, by introducing an integration equation, the integer orders and a recursion designing idea, a singular value problem in the design of the traditional terminal sliding mode is well avoided. A novel design idea is provided for terminal sliding mode control of the higher-order multi-input multi-output nonlinear system. Compared with the general limited time terminal sliding mode, by introducing high-power items, fixed time convergence is achieved, so dependence on system state values when a system track reaches the sliding mode surface is avoided.

A generalized chaotic synchronization method for controlled Lorenz system and Finance system applied to secure communication comprises the following steps: 1) description of the generalized chaotic synchronization problem; 2) state transformation and feedback of the response system; 3) state transition of driving system; 4) Generalized synchronization. The invention provides the generalized chaotic synchronization method for controlled Lorenz system and Finance system applied to secure communication, the Finance chaotic system is a driving system and the single input controlled Lorenz system is a respondence system, a chaotic synchronization algorithm based on the Lie derivative of vector field in differential geometry is designed, The generalized synchronization is realized and the control quality is high.

A generalized chaotic synchronization method of controlled Finance system and Chen system applied to secure communication is disclosed. The method comprises the following steps: 1) description of generalized chaotic synchronization problem; 2) state transformation and feedback of the response system; 3) state transition of driving system; 4) Generalized synchronization. The invention provides thegeneralized chaotic synchronization method of the controlled Finance system and the Chen system applied to secure communication, a chaotic synchronization algorithm based on Lie derivative of vector field in differential geometry is designed, which is driven by Chen system and responded by controlled Finance system with single input. The generalized synchronization is realized and the control quality is high.

The invention relates to a nonlinear observability analysis method based on conditional number fusion, which belongs to the field of nonlinear system observability. The method comprises the followingsteps of: calculating a pseudo-state transition matrix and a pseudo-observation matrix by using a Lie derivative, secondly, calculating a pseudo-state transition matrix and a pseudo-observation matrixby utilizing cubature Kalman filtering, fusing to obtain a new pseudo-state transition matrix and a new observation matrix, and finally, calculating the nonlinear observability in combination with the Cramer-Rao bound. According to the method, a nonlinear observability calculation scheme fusing the Lie derivative and the cubature Kalman filtering is established, process noise and measurement noise are both considered in the nonlinear observability calculation scheme, and the nonlinear observability theory is further perfected.

The invention discloses a generalized chaotic synchronization method for a controlled Lorenz system and a Genesio-Tesi system applied to secret communication. The method comprises the following stepsof 1, describing a generalized chaotic synchronization problem; 2, converting and feeding back the state of a response system; 3, converting the state of a driving system; and 4, generalized synchronization. According to the generalized chaotic synchronization method for the controlled Lorenz system and the Genesio-Tesi system applied to secret communication provided by the invention, the Genesio-Tesi chaos system is used as the driving system, the controlled Lorenz system with a single input is used as the response system, a lie derivative method in a vector field in differential geometry isused for designing a chaotic synchronization algorithm, the generalized synchronization is achieved, and the control quality is relatively high.

The present invention provides a generalized chaos synchronization method of a controlled Rucklidge system and a Chen system applied to secret communication. The method comprises the following steps of: 1) generalized chaos synchronization problem description; 2) state conversion and feedback of a response system; 3) state transition of a drive system; and 4) generalized synchronization. The method provided by the invention takes the Chen system as a drive system and takes the single-input controlled Rucklidge system as a response system to design a chaos synchronization algorithm through adoption of a lie derivative method of a vector field in the differential geometry so as to achieve generalized synchronization and high control quality.

The invention discloses a generalized synchronization method for a controlled Lv system and a Finance system for secrete communication. The method comprises the following steps: 1), description of a generalized chaotic synchronization problem; 2), state transformation and feedback of a response system; 3), state transition of a drive system; 4), generalized synchronization. The invention providesthe generalized chaotic synchronization method for the controlled Lv system and the Finance system for secret communication. The Finance chaotic system is used as the drive system, and the single-input controlled Lv system is used as the response system. A vector field Lie derivative method in the differential geometry is used for designing the chaotic synchronization method, thereby achieving generalized synchronization and high control quality.

A generalized chaotic synchronization method of a controlled Rucklidge system and a Lu system in secure communication is provided, the method comprising the following steps: 1) description of a generalized chaotic synchronization problem; 2) state transformation and feedback of the response system; 3) state transition of driving system; 4) generalized synchronization. The invention provides a generalized chaotic synchronization method of a controlled Rucklidge system and an Lu system in secure communication, a chaotic synchronization algorithm based on Lie derivative of vector field in differential geometry is adopted by taking Lu system as driving system and single input controlled Rucklidge system as response system. The generalized synchronization is realized and the control quality ishigh.

The invention discloses a generalized synchronization method of a controlled Chen system and a Rucklidge system applied to secret communication. The method comprises the following steps: 1) generalized chaotic synchronization problem description; 2) state conversion and feedback of a response system; 3) state conversion of a driving system; and 4) generalized synchronization. The invention provides a generalized synchronization method of the controlled Chen system and the Rucklidge system applied to secret communication; the Rucklidge chaotic system is used as the driving system, and the single-input controlled Chen system is used as the response system; a chaotic synchronization algorithm is designed by adopting a Lie derivative method of a vector field in differential geometry, the generalized synchronization is realized, and the control quality is relatively high.

A differential geometry method for chaotic self-synchronization of Lorenz system applied to secure communication is disclosed.The method comprises the following steps, 1)descriptioin of Lorenz chaoticself-synchronization; 2) state transformation and feedback of the response system; 3) state transition of driving system; 4) synchronization. That invention provide a description of Lorenz chaotic self-synchronization problem, taking Lorenz chaotic system as a driving system and single-input control Lorenz system as a response system, and adopting Lie derivative method of vector field in differential geometry to design a chaotic self-synchronization method with high control quality.

The invention relates to a generalized chaotic synchronization method of a controlled T system and a Finance system applied to secure communication. The method comprises the following steps: 1) describing of a generalized chaotic synchronization problem; 2) state transformation and feedback of the response system; 3) state transition of driving system; 4) Generalized synchronization. The inventionprovides the generalized chaotic synchronization method of a controlled T system and a Finance system applied to secure communication, A chaotic synchronization algorithm based on Lie derivative of vector field in differential geometry is designed, which is driven by Finance chaotic system and controlled T system with single input as response system. The generalized synchronization is realized and the control quality is high.

The invention discloses a controlled Shimizu-Morioka system and Lorenz system generalized synchronization method for encryption and decryption. The method comprises the following steps: 1) generalizedchaotic synchronization problem description; 2) state transformation and feedback of a response system; 3) state conversion of a driving system; and 4) generalized synchronization. The invention provides a generalized chaotic synchronization method applied to a controlled Shimizu-Morioka system and a Lorenz system of secret communication, the Lorenz system is used as the driving system, and single-input controlled Shimizu-Morioka system is used as the response system, and a chaotic synchronization algorithm is designed by adopting Lie derivative method of a vector field in differential geometry, the generalized synchronization is realized, and the control quality is relatively high.

Disclosed is a generalized chaotic synchronization method for a controlled Genesio-Tesi system and a T system applied to secure communication. The method includes the following steps: 1) generalized chaotic synchronization problem description; 2) state transformation and feedback of the response system; 3) state conversion of the driving system; and 4) generalized synchronization. The generalizedchaotic synchronization method for the controlled Genesio-Tesi system and the T system applied to the secure communication provided by the invention uses the T system as the driving system and uses the single-input controlled Genesio-Tesi system as the response system. A chaotic synchronization algorithm is designed by using a Lie derivative method of a vector field in differential geometry to realize the generalized synchronization, which is high in control quality.

The invention discloses a generalized chaotic synchronization method of a controlled Chen system and a Genesio-Tesi system applied to secure communication. The method comprises the following steps: 1)describing the problem of generalized chaotic synchronization; 2) state transformation and feedback of the response system; 3) state transition of driving system; 4) Generalized synchronization. Theinvention provides the generalized chaotic synchronization method of the controlled Chen system and the Genesio-Tesi system applied to secure communication. The Genesio-Tesi chaotic system is a driving system and the controlled Chen system with single input is a response system. A chaotic synchronization algorithm is designed by using Lie derivative method of vector field in differential geometry.The generalized synchronization is realized and the control quality is high.

A generalized chaotic synchronization method for a controlled Lue system and a Rucklidge system applied to secure communication, the method comprising the following steps: 1) description of a generalized chaotic synchronization problem; 2) state transformation and feedback of the response system; 3) state transition of driving system; 4) Generalized synchronization. The invention provides the generalized chaotic synchronization method of a controlled Lue system and a Rucklidge system applied to secure communication, A chaotic synchronization algorithm based on Lie derivative of vector field indifferential geometry is designed, which takes Rucklidge system as the driving system and single input controlled Lue system as the response system. The generalized synchronization is realized and the control quality is high.

A Generalized synchronization method for controlled Chen system and Shimizu-Morioka system applied to secure communication comprises that follow steps: 1) describing the generalized chaotic synchronization problem; 2) state transformation and feedback of the response system; 3) state transition of driving system; 4) Generalized synchronization. The invention provides the Generalized synchronization method for controlled Chen system and Shimizu-Morioka system applied to secure communication, the Shimizu-Morioka chaotic system is a driving system, and the controlled Chen system with single inputis a response system, A chaotic synchronization algorithm is designed by using Lie derivative method of vector field in differential geometry, which realizes generalized synchronization and has highcontrol quality.

The invention discloses a controlled Lorenz system and Shimizu-Morioka system generalized chaotic synchronization method for encryption and decryption. The method comprises the following steps of 1),describing a generalized chaotic synchronization problem; 2), carrying out state conversion and feedback of a response system; 3), carrying out state conversion of a drive system; and 4), carrying outgeneralized synchronization. According to the controlled Shimizu-Morioka system and Lorenz system generalized chaotic synchronization method applied to secure communication provided by the invention,a Shimizu-Morioka chaotic system is taken as the drive system, a single-input controlled Lorenz system is taken as the response system, a chaotic synchronization algorithm is designed through adoption of a Lie derivative for a vector field in differential geometry, the generalized synchronization is realized, and control quality is relatively high.

A generalized chaotic synchronization method of a controlled Rucklidge system and a T system applied to secure communication, the method comprising the following steps: 1) description of a generalizedchaotic synchronization problem; 2) state transformation and feedback of the response system; 3) state transition of driving system; 4) generalized synchronization. The invention provides a generalized chaotic synchronization method of a controlled Rucklidge system and a T system applied to secure communication, a chaotic synchronization algorithm based on Lie derivative of vector field in differential geometry is designed for T-system and single-input controlled Rucklidge system. The generalized synchronization is realized and the control quality is high.

The invention discloses a generalized synchronization method of a controlled Shimizu-Morioka system and a Lu system applied to secret communication. The method comprises the following steps: 1) generalized chaotic synchronization problem description; 2) state conversion and feedback of a response system; 3) state conversion of a driving system; and 4) generalized synchronization. The invention provides a generalized synchronization method of the controlled Shimizu-Morioka system and the Lu system applied to secret communication; the Lu system is used as the driving system, and the single-inputcontrolled Shimizu-Morioka system is a response system, a chaotic synchronization algorithm is designed by adopting a Lie derivative method of a vector field in differential geometry, the generalizedsynchronization is realized, and the control quality is relatively high.