We describe plasmonic switches consisting of 1-D arrays of plasmonic nanostructures such that they have thin films of vanadium-dioxide (VO<sub>2</sub>) in the vicinity of the plasmonic nanostructures. A multi-wavelength plasmonic switch is presented based on one dimensional plasmonic, asymmetric narrow-groove nanogratings (ANGN), coated with a thin layer of VO<sub>2</sub>. Incident optical radiation is coupled into plasmonic waveguide modes in metallic narrow-groove nanogratings leading to a localization of electromagnetic fields inside the narrow grooves. The switching is exhibited due to coating of a thin layer of VO<sub>2</sub> ⎯ a material whose phase changes from semiconductor to metal on exposure to heat, IR radiation or voltage. As the phase of VO<sub>2</sub> changes, it undergoes a change in its dielectric and optical properties. This phase transition in the thin layer of VO<sub>2</sub> coated on the nanograting changes the overall optical response from the nanograting, thus exhibiting a switching in the reflectance spectra. The switchability is analyzed through the differential reflectance spectrum which is obtained by subtracting the reflectance spectra of VO<sub>2</sub> (M) coated ANGNs from the reflectance spectra of VO<sub>2</sub> (S) coated ANGNs. Asymmetry is created in these narrow-groove nanogratings by choosing different values for the narrow-groove gaps. Rigorous coupled wave analysis (RCWA) and finite difference time domain (FDTD) modeling demonstrates that ⎯ due to the presence of asymmetric groove widths ⎯ the incident light is coupled into plasmonic modes in all the grooves at different resonant wavelengths. The presence of several resonant wavelengths in reflectance spectra of ANGNs gives rise to multiple dips and peaks in the differential reflectance spectra, thus exhibiting multiple switching wavelengths. Thus, these asymmetric plasmonic narrow-groove nanogratings can be employed for switching at multiple wavelengths.