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This research aims to develop new methods for control and observation in discrete-time linear time-varying systems.

Gramian and difference parametric Lyapunov equation based control of discrete-time linear time-varying systems with applications to tracking of nonholonomic systems

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Randomized trial investigates observer-based output-feedback stabilisation in nonholonomic systems, indicating new design methods.

This research aims to develop new methods for control and observation in discrete-time linear time-varying systems.
Combining Gramians and difference parametric Lyapunov equations for design methods.
Establishing sufficient conditions for stability and boundedness of gains.
Applying designs to trajectory tracking of nonholonomic systems.
Achieved asymptotic stability in the closed-loop systems under specified conditions.
Derived precise relationships between original and alternative gain formulas.
Provided sufficient conditions ensure uniform exponential stability in observer-based output-feedback.

Bin Zhou (2026) studied this question.

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