Features: Builds in mathematical sophistication from chapter to chapter |
Adopts a very precise theorem-proof format for presenting the fundamental notions of stability and asymptotic analysis for nonlinear systems -- but uses user-friendly language, enlivened with many examples and remarks |
Covers the basic elements of Lyapunov stability in a separate chapter |
Covers topics ignored by other similar texts, e.g.: averaging |
Single perturbation center manifold theorem |
New--reorganizes content into three distinct parts |
Covers nonlinear system analysis / Part I: |
Discusses feedback systems / Part II: |
Considers feedback design / Part III: |
New--expands coverage of: input-output stability |
Feedback linearization |
Small-theorem |
New--adds coverage of: passivity approach |
Back stepping control design |
Sliding mode control |
Numerical construction of phase portraits |
Comparison principle |
Comparison method |
Input-output linearization |
Differential geometric approach |
Extended linearization |
Features problems that range in difficulty from simple drill problems to advanced (research-level) problems |
New--adds over 100 new problems |
Features: Builds in mathematical sophistication from chapter to chapter |
Adopts a very precise theorem-proof format for presenting the fundamental notions of stability and asymptotic analysis for nonlinear systems -- but uses user-friendly language, enlivened with many examples and remarks |
Covers the basic elements of Lyapunov stability in a separate chapter |